Finding the Third Proportional to 1,409.06 and 3,312.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,409.06 : 3,312.56 = 3,312.56 : x
2. Step 2: Convert to fraction form
   1,409.06/3,312.56 = 3,312.56/x
3. Step 3: Cross multiply
   1,409.06x = 3,312.56 × 3,312.56
4. Step 4: Simplify right side
   1,409.06x = 10,973,070.32
5. Step 5: Solve for x
   x = 10,973,070.32/1,409.06
6. Step 6: Final answer
   x = 7,787.50